Lesson 5.6 Multiplication Rule for Independent Events

Front

What is the Multiplication Rule for Independent Events?

Back

The probability of two independent events A and B occurring together is the product of their individual probabilities: P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of at least one event occurring?

Back

To find the probability of at least one event occurring, use the formula: P(at least one) = 1 - P(none).

Front

What is the probability of getting heads when tossing a fair coin?

Back

The probability of getting heads when tossing a fair coin is 1/2.

Front

If a coin is tossed and a die is rolled, what is the probability of getting heads and a 7?

Back

The probability is 0, because a die only has numbers 1-6.

Front

What is the probability of getting tails four times in a row when tossing a coin?

Back

The probability is 1/16, since (1/2)^4 = 1/16.

Front

In a quality control scenario, if the probability of a defective item is 0.005, what is the probability of selecting at least one defective item from 250 items?

Back

The probability is approximately 0.71.

Front

What is the probability of rolling a 3 on a fair six-sided die?

Back

The probability is 1/6.

Front

If you have two independent events, A and B, with probabilities P(A) = 0.3 and P(B) = 0.4, what is P(A and B)?

Back

P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.

Front

What is the probability of not getting a 5 when rolling a fair six-sided die?

Back

The probability is 5/6.

Front

If a bag contains 3 red balls and 2 blue balls, what is the probability of drawing a red ball?

Back

The probability is 3/5.